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Finding the Fourth Proportional to 423.47, 635.38 and 203.99

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Solution

The fourth proportional to 423.47, 635.38 and 203.99 is: 306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.47 : 635.38 = 203.99 : x
  2. Step 2: Convert to fraction form
    423.47/635.38 = 203.99/x
  3. Step 3: Cross multiply
    423.47x = 635.38 × 203.99
  4. Step 4: Simplify right side
    423.47x = 129,607.48
  5. Step 5: Solve for x
    x = 129,607.48/423.47
  6. Step 6: Final answer
    x = 306.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.